Abstract
In this paper, we propose a new design algorithm for nearly linear phase IIR digital filters with prescribed log magnitude response. The error function used here is the sum of the weighted log magnitude-squared error and phase-squared error, and so it is possible to control log magnitude and phase response directly. The gradient vector of the proposed error function is easily calculated as the closed form solution because of its nature, in which the real and imaginary part of the logarithm of a complex transfer transfer function corresponds to the log magnitude and phase response, respectively. This algorithm is simple and converges quickly. Finally, we show the validity of the proposed algorithm with some examples.
| Original language | English |
|---|---|
| Pages (from-to) | 1879-1884 |
| Number of pages | 6 |
| Journal | IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences |
| Volume | E79-A |
| Issue number | 11 |
| Publication status | Published - 1996 |
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Keywords
- IIR digital filter
- Log magnitude response
- Robust algorithm
- Steepest decent method
ASJC Scopus subject areas
- Electrical and Electronic Engineering
- Hardware and Architecture
- Information Systems
Cite this
Simultaneous approximation for IIR digital filters with log magnitude and phase response. / Okuda, Masahiro; Ikehara, Masaaki; Takahashi, Shin Ichi.
In: IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, Vol. E79-A, No. 11, 1996, p. 1879-1884.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Simultaneous approximation for IIR digital filters with log magnitude and phase response
AU - Okuda, Masahiro
AU - Ikehara, Masaaki
AU - Takahashi, Shin Ichi
PY - 1996
Y1 - 1996
N2 - In this paper, we propose a new design algorithm for nearly linear phase IIR digital filters with prescribed log magnitude response. The error function used here is the sum of the weighted log magnitude-squared error and phase-squared error, and so it is possible to control log magnitude and phase response directly. The gradient vector of the proposed error function is easily calculated as the closed form solution because of its nature, in which the real and imaginary part of the logarithm of a complex transfer transfer function corresponds to the log magnitude and phase response, respectively. This algorithm is simple and converges quickly. Finally, we show the validity of the proposed algorithm with some examples.
AB - In this paper, we propose a new design algorithm for nearly linear phase IIR digital filters with prescribed log magnitude response. The error function used here is the sum of the weighted log magnitude-squared error and phase-squared error, and so it is possible to control log magnitude and phase response directly. The gradient vector of the proposed error function is easily calculated as the closed form solution because of its nature, in which the real and imaginary part of the logarithm of a complex transfer transfer function corresponds to the log magnitude and phase response, respectively. This algorithm is simple and converges quickly. Finally, we show the validity of the proposed algorithm with some examples.
KW - IIR digital filter
KW - Log magnitude response
KW - Robust algorithm
KW - Steepest decent method
UR - http://www.scopus.com/inward/record.url?scp=0030285090&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0030285090&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:0030285090
VL - E79-A
SP - 1879
EP - 1884
JO - IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
JF - IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
SN - 0916-8508
IS - 11
ER -